lec06-sets

# lec06-sets - EECS 203 Winter 2007 Discrete Mathematics...

• Notes
• 18

This preview shows pages 1–8. Sign up to view the full content.

EECS 203, Winter 2007 Discrete Mathematics Lecture 6 Sets and Set operations January 23 Reading: Rosen [2.1-2.2] January 23 Sets and Set operations, Page 1

This preview has intentionally blurred sections. Sign up to view the full version.

6.1 Sets A set is an unordered collection of objects. An object a that belongs to a set A is called an element of A , written a A . The size of a set A is the number of objects it contains, and is denoted by | A | . Example: Empty set . January 23 Sets and Set operations, Page 2

This preview has intentionally blurred sections. Sign up to view the full version.

6.2 How to make new sets Let A and B be two sets The union A B = { x : x A x B } ; The intersection A B = { x : x A x B } ; The difference A - B = { x : x A x B } . If a set U is designated as the universal set , the complement of a subset A U is ¯ A = U - A . The power set of A is 2 A = { B : B A } . The symmetric difference A B = ( A - B ) ( B - A ). January 23 Sets and Set operations, Page 3

This preview has intentionally blurred sections. Sign up to view the full version.

6.3 Relations between sets Let A and B be two sets A and B are equal if they have the same elements.

This preview has intentionally blurred sections. Sign up to view the full version.

This is the end of the preview. Sign up to access the rest of the document.
• Winter '07
• YaoyunShi
• Empty set, Finite set, Basic concepts in set theory, Set Operations

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern